The ring of sections of a complete symmetric variety
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
We study the ring of sections A(X) of a complete symmetric variety X, that is of the wonderful completion of G/H where G is an adjoint semi-simple group and H is the fixed subgroup for an involutorial automorphism of G. We find generators for Pic(X), we generalize the PRV conjecture to complete symmetric varieties and construct a standard monomial theory for A(X) that is compatible with G orbit closures in X. This gives a degeneration result and the rational singularityness for A(X).
Keywords
Cite
@article{arxiv.math/0204354,
title = {The ring of sections of a complete symmetric variety},
author = {Rocco Chirivi' and Andrea Maffei},
journal= {arXiv preprint arXiv:math/0204354},
year = {2007}
}
Comments
15 pages, Latex